× 0 π/6 π/4 π/3 π/2 2π/3 3π/4 5π/6 π y=sinx 0 0.5 0.7071 0.866 1 -0.866 -0.7071 -0.5 0 y=cosx 1 0.866 0.7071 0.5 0 -0.5 -0.7071 -0.866 - a. Graph y=sinx b. Graph y=cosx
× 0 π/6 π/4 π/3 π/2 2π/3 3π/4 5π/6 π y=sinx 0 0.5 0.7071 0.866 1 -0.866 -0.7071 -0.5 0 y=cosx 1 0.866 0.7071 0.5 0 -0.5 -0.7071 -0.866 - a. Graph y=sinx b. Graph y=cosx
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
Related questions
Question
| × | 0 | π/6 | π/4 | π/3 | π/2 | 2π/3 | 3π/4 | 5π/6 | π |
| y=sinx | 0 | 0.5 | 0.7071 | 0.866 | 1 | -0.866 | -0.7071 | -0.5 | 0 |
| y=cosx | 1 | 0.866 | 0.7071 | 0.5 | 0 | -0.5 | -0.7071 | -0.866 |
- |
a. Graph y=sinx
b. Graph y=cosx
![Recall that the functions may be graphed by assigning values for x, which are angles expressed in
functions. Therefore, to evaluate the limits of trigonometric functions, you need to established first the
rigonometric functions because all the other function can be expressed in terms of these two
functions cosecant (csc), secant (sec), cotangent (cot), respectively. Basically, these
radian measure. Thus, you have the ff. table of values:
functions refer to the ratio of any two sides of a right triangle with respect to the reference angle.
The sinusoidal trigonometric functions (y=sinx and y =cosx) are most fundamental of all
I six important functions, namely, sine (sin), cosine (cos), tangent (tan),
Six important functions, namely, sine (sin), cosine (cos), tangen the
values of lim(sinx) and lim(cosx).
X-C
EXAMPLE
Table 1] Table of values for y=sinx and y=cosx (from 0-TT)
TC
TC
TC
2Tt
3T
5TT
TT
4
y=sinx
3.
2.
3
4.
-0.7071
0.5
0.7071
0.866
1
-0.5
y%3cosx
1
0.866
-0.866
-1
0.7071
Note: to get y=sinx and y%3cosx use your scientific calculator and set in radian mode.
4 Evaluate x="; sol'n y=sinx→ y=sin(=)→ y=0.5→ (-,0.5)
+ Evaluate x=", sol,n y=cosx→ y=cos(=)→ y=0.866→ (0.866)
0.5
-0.5
-0.7071
-0.866
TT
6'
Table 2] table of values for y=sinx and y=cosx (from to 2n)
9.
7Tt
7T
5TT
4TC
11T
3Tt
5TT
7Tt
2Tt
6.
-0.5
4
-0.7071
3
-0.866
6.
-0.5
4.
y%3Dsinx
3.
-0.866
-1
-0.7071
y%3cosx
-0.866
-0.7971
-0.5
0.866
1
-0.5
0.7071
Next plot the points in cartesian plane
Graph 1] graph y=sinx in table 1
Graph 2] graph y%3sinx in table 2
Graph 3] graph y=cosx in table 1
Graph 4] graph y3cosx in table 2
270](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc67e314e-913f-4e4a-aeae-2e86a19c7a7f%2F41f33710-9331-46f5-b6cb-16ba6375f111%2Fi0vzr7h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Recall that the functions may be graphed by assigning values for x, which are angles expressed in
functions. Therefore, to evaluate the limits of trigonometric functions, you need to established first the
rigonometric functions because all the other function can be expressed in terms of these two
functions cosecant (csc), secant (sec), cotangent (cot), respectively. Basically, these
radian measure. Thus, you have the ff. table of values:
functions refer to the ratio of any two sides of a right triangle with respect to the reference angle.
The sinusoidal trigonometric functions (y=sinx and y =cosx) are most fundamental of all
I six important functions, namely, sine (sin), cosine (cos), tangent (tan),
Six important functions, namely, sine (sin), cosine (cos), tangen the
values of lim(sinx) and lim(cosx).
X-C
EXAMPLE
Table 1] Table of values for y=sinx and y=cosx (from 0-TT)
TC
TC
TC
2Tt
3T
5TT
TT
4
y=sinx
3.
2.
3
4.
-0.7071
0.5
0.7071
0.866
1
-0.5
y%3cosx
1
0.866
-0.866
-1
0.7071
Note: to get y=sinx and y%3cosx use your scientific calculator and set in radian mode.
4 Evaluate x="; sol'n y=sinx→ y=sin(=)→ y=0.5→ (-,0.5)
+ Evaluate x=", sol,n y=cosx→ y=cos(=)→ y=0.866→ (0.866)
0.5
-0.5
-0.7071
-0.866
TT
6'
Table 2] table of values for y=sinx and y=cosx (from to 2n)
9.
7Tt
7T
5TT
4TC
11T
3Tt
5TT
7Tt
2Tt
6.
-0.5
4
-0.7071
3
-0.866
6.
-0.5
4.
y%3Dsinx
3.
-0.866
-1
-0.7071
y%3cosx
-0.866
-0.7971
-0.5
0.866
1
-0.5
0.7071
Next plot the points in cartesian plane
Graph 1] graph y=sinx in table 1
Graph 2] graph y%3sinx in table 2
Graph 3] graph y=cosx in table 1
Graph 4] graph y3cosx in table 2
270
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